Question

Возведите в степень (3x-4)³ (2a²+3b³)³пж срочно

Answer 1

Ответ:

1) 27x³-64

2) 8a⁶+27b⁹

Объяснение:

Answer 2

Calculating the Expression

To calculate the expression \( (3x-4)^3 + (2a^2 + 3b^3)^3 \), we need to expand each term using the binomial theorem and then combine like terms.

Expanding the First Term

The expansion of \( (3x-4)^3 \) can be calculated using the binomial theorem, which states that \( (a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k \).

Expanding \( (3x-4)^3 \) using the binomial theorem: \[ (3x-4)^3 = \binom{3}{0} (3x)^3 (-4)^0 + \binom{3}{1} (3x)^2 (-4)^1 + \binom{3}{2} (3x)^1 (-4)^2 + \binom{3}{3} (3x)^0 (-4)^3 \]

Expanding the Second Term

Similarly, the expansion of \( (2a^2 + 3b^3)^3 \) can be calculated using the binomial theorem: \[ (2a^2 + 3b^3)^3 = \binom{3}{0} (2a^2)^3 (3b^3)^0 + \binom{3}{1} (2a^2)^2 (3b^3)^1 + \binom{3}{2} (2a^2)^1 (3b^3)^2 + \binom{3}{3} (2a^2)^0 (3b^3)^3 \]

Combining Like Terms

After expanding both terms, we can combine like terms by adding the coefficients of the similar monomials.

Final Result

The final result after combining like terms will be the simplified expression.

Let's proceed with the calculations.